Search Results - "Cedó, F."
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Constructing finite simple solutions of the Yang-Baxter equation
Published in Advances in mathematics (New York. 1965) (19-11-2021)“…We study involutive non-degenerate set-theoretic solutions (X,r) of the Yang-Baxter equation on a finite set X. The emphasis is on the case where (X,r) is…”
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Indecomposable solutions of the Yang–Baxter equation of square-free cardinality
Published in Advances in mathematics (New York. 1965) (01-10-2023)Get full text
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On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang–Baxter equation
Published in Journal of pure and applied algebra (01-02-2023)“…Given a finite bijective non-degenerate set-theoretic solution (X,r) of the Yang–Baxter equation we characterize when its structure monoid M(X,r) is Malcev…”
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4
New simple solutions of the Yang-Baxter equation and solutions associated to simple left braces
Published in Journal of algebra (15-06-2022)“…Involutive non-degenerate set theoretic solutions of the Yang-Baxter equation are considered, with a focus on finite solutions. A rich class of indecomposable…”
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Every finite abelian group is a subgroup of the additive group of a finite simple left brace
Published in Journal of pure and applied algebra (01-01-2021)“…Left braces, introduced by Rump, have turned out to provide an important tool in the study of set-theoretic solutions of the quantum Yang–Baxter equation. In…”
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A characterization of finite multipermutation solutions of the Yang–Baxter equation
Published in Publicacions matemàtiques (2018)“…We prove that a finite non-degenerate involutive set-theoretic solution (X, r) of the Yang–Baxter equation is a multipermutation solution if and only if its…”
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Iterated matched products of finite braces and simplicity; new solutions of the Yang-Baxter equation
Published in Transactions of the American Mathematical Society (01-07-2018)“…Braces were introduced by Rump as a promising tool in the study of the set-theoretic solutions of the Yang-Baxter equation. It has been recently proved that,…”
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Corrigendum to “Constructing finite simple solutions of the Yang-Baxter equation” [Adv. Math. 391 (2021) 107968]
Published in Advances in mathematics (New York. 1965) (01-08-2024)“…The example constructed in Theorem 4.12 in “Constructing finite simple solutions of the Yang-Baxter equation” is not correct. We provide another construction…”
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Faithful linear representations of bands
Published in Publicacions matemàtiques (2009)“…A band is a semigroup consisting of idempotents. It is proved that for any field K and any band S with finitely many components, the semigroup algebra K [S]…”
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An asynchronous and iterative load balancing algorithm for discrete load model
Published in Journal of parallel and distributed computing (01-12-2002)“…Diffusion algorithms are some of the most popular algorithms for dynamic load balancing in which loads move from heavily loaded processors to lightly loaded…”
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NILPOTENT GROUPS OF CLASS THREE AND BRACES
Published in Publicacions matemàtiques (01-01-2016)“…New constructions of braces on finite nilpotent groups are given and hence this leads to new solutions of the Yang–Baxter equation. In particular, it follows…”
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Ultrasound-guided axillary brachial plexus block: learning curve and results
Published in Revista española de anestesiología y reanimación (01-02-2011)“…The use of ultrasound in regional anesthesia requires the acquisition of new knowledge and skills not only by anesthesiologists in training but also by…”
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13
The Convergence of Realistic Distributed Load-Balancing Algorithms
Published in Theory of computing systems (01-12-2007)“…We give a general model of partially asynchronous, distributed load-balancing algorithms for the discrete load model in parallel computers, where the processor…”
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Contribution of ultrasound guidance to the performance of the axillary brachial plexus block with multiple nerve stimulation
Published in Revista española de anestesiología y reanimación (01-02-2009)“…To evaluate whether ultrasound imaging of vascular nerve structures improves anesthetic block quality and decreases the incidence of vascular puncture in the…”
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15
A characterization of finite multipermutation solutions of the Yang-Baxter equation
Published 28-06-2017“…Publ. Mat. 62 (2018), no. 2, 641-649 We prove that a finite non-degenerate involutive set-theoretic solution (X,r) of the Yang-Baxter equation is a…”
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On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang--Baxter equation
Published 03-11-2020“…Given a finite bijective non-degenerate set-theoretic solution $(X,r)$ of the Yang--Baxter equation we characterize when its structure monoid $M(X,r)$ is…”
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SOME EXAMPLES OF BANDS WITH TWO COMPONENTS
Published in Publicacions matemàtiques (01-01-2010)“…A band is a semigroup whose elements are idempotents. The paper is motivated by some open problems concerning linear representations of bands. A counterexample…”
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18
Iterated matched products of finite braces and simplicity; new solutions of the Yang-Baxter equation
Published 03-10-2016“…Braces were introduced by Rump as a promising tool in the study of the set-theoretic solutions of the Yang-Baxter equation. It has been recently proved that,…”
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On the stability of a distributed dynamic load balancing algorithm
Published in Proceedings 1998 International Conference on Parallel and Distributed Systems (Cat. No.98TB100250) (1998)“…We present a new fully distributed dynamic load balancing algorithm called DASUD (Diffusion Algorithm Searching Unbalanced Domains). Since DASUD is iterative…”
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Conference Proceeding -
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Primitive set-theoretic solutions of the Yang-Baxter equation
Published 04-03-2020“…To every involutive non-degenerate set-theoretic solution $(X,r)$ of the Yang-Baxter equation on a finite set $X$ there is a naturally associated finite…”
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